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Finding the Fourth Proportional to 524.38, 723.90 and 328.18

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Solution

The fourth proportional to 524.38, 723.90 and 328.18 is: 453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.38 : 723.90 = 328.18 : x
  2. Step 2: Convert to fraction form
    524.38/723.90 = 328.18/x
  3. Step 3: Cross multiply
    524.38x = 723.90 × 328.18
  4. Step 4: Simplify right side
    524.38x = 237,569.50
  5. Step 5: Solve for x
    x = 237,569.50/524.38
  6. Step 6: Final answer
    x = 453.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.